%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR124^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:47:04 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR124^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:59:50 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (695838)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (695848)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=700021002:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.27 % (695848) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-695838-695848"...
% 0.20/0.27 % (695848)...printing done.
% 0.20/0.27 % (695848)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% 0.20/0.27 thf(type_def_5, type, num: $tType).
% 0.20/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.27 thf(func_def_0, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
% 0.20/0.27 thf(func_def_4, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 0.20/0.27 thf(func_def_5, type, likes_THFTYPE_IiioI: ($i > $i > $o)).
% 0.20/0.27 thf(func_def_10, type, vAND: ($o > $o > $o)).
% 0.20/0.27 thf(f1,axiom,(
% 0.20/0.27 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.20/0.27 thf(f2,axiom,(
% 0.20/0.27 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 0.20/0.27 thf(f3,conjecture,(
% 0.20/0.27 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.20/0.27 thf(f4,negated_conjecture,(
% 0.20/0.27 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 inference(negated_conjecture,[status(cth)],[f3])).
% 0.20/0.27 thf(f5,plain,(
% 0.20/0.27 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 inference(rectify,[],[f2])).
% 0.20/0.27 thf(f6,plain,(
% 0.20/0.27 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.27 inference(fool_elimination,[],[f5])).
% 0.20/0.27 thf(f7,plain,(
% 0.20/0.27 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.20/0.27 inference(rectify,[],[f1])).
% 0.20/0.27 thf(f8,plain,(
% 0.20/0.27 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.20/0.27 inference(fool_elimination,[],[f7])).
% 0.20/0.27 thf(f9,plain,(
% 0.20/0.27 ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.20/0.27 inference(rectify,[],[f4])).
% 0.20/0.27 thf(f10,plain,(
% 0.20/0.27 ~ ($true = ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.27 inference(fool_elimination,[],[f9])).
% 0.20/0.27 thf(f11,plain,(
% 0.20/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.27 inference(flattening,[],[f10])).
% 0.20/0.27 thf(f12,plain,(
% 0.20/0.27 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) = $true)),
% 0.20/0.27 inference(cnf_transformation,[],[f6])).
% 0.20/0.27 thf(f13,plain,(
% 0.20/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))),
% 0.20/0.27 inference(cnf_transformation,[],[f11])).
% 0.20/0.27 thf(f14,plain,(
% 0.20/0.27 (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 0.20/0.27 inference(cnf_transformation,[],[f8])).
% 0.20/0.27 thf(f17,plain,(
% 0.20/0.27 ($true != ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & $true))))),
% 0.20/0.27 inference(backward_demodulation,[],[f13,f14])).
% 0.20/0.27 thf(f18,plain,(
% 0.20/0.27 (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))) != $true)),
% 0.20/0.28 inference(boolean_simplification,[],[f17])).
% 0.20/0.28 thf(f19,plain,(
% 0.20/0.28 $false),
% 0.20/0.28 inference(forward_subsumption_resolution,[],[f18,f12])).
% 0.20/0.28 % SZS output end Proof for theBenchmark
% 0.20/0.28 % (695848)------------------------------
% 0.20/0.28 % (695848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (695848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (695848)CaDiCaL version: 2.1.3
% 0.20/0.28 % (695848)Termination reason: Refutation
% 0.20/0.28 % (695848)Time elapsed: 0.001 s
% 0.20/0.28 % (695848)Peak memory usage: 12 MB
% 0.20/0.28 % (695848)Instructions burned: 1 (million)
% 0.20/0.28 % (695838)Success in time 0.028 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------